Mutually Inclusive Events

Events are mutually inclusive, when there is something in common between two or more events.


Two or more events are said to be mutually inclusive events, if they can occur together in a single experiment.

Method of Finding Mutually Inclusive Events:

Method of intersection is used in order to find whether the selective events are mutually inclusive events or not. In the method of intersection (common numbers between the events) common digits between the events are taken out. If there is something common between two or more events then will be considered as mutually inclusive events.

For the case, if A & B are mutually inclusive events then it can be represented as;

                                       A n B ≠ø

For three mutually inclusive events A, B and C

                                    A n B n C ≠ø                    

Mutually Inclusive Events Example:

A sample space consists of first ten natural numbers

S = {1, 2, 3…9, 10}

Let the event A consists of prime numbers A = {2, 3, 5, 7, 9}

And event B is consist of multiple of ‘’3’’ B = {3, 9}

Now find the intersection of two events.

A n B = {3, 9} ≠ø

Hence, event A & B are the mutually inclusive events or you can also say the two events are not mutually exclusive events.

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